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Finding the Fourth Proportional to 286,465.95, 429,841.49 and 216,772.83

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Solution

The fourth proportional to 286,465.95, 429,841.49 and 216,772.83 is: 325,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,465.95 : 429,841.49 = 216,772.83 : x
  2. Step 2: Convert to fraction form
    286,465.95/429,841.49 = 216,772.83/x
  3. Step 3: Cross multiply
    286,465.95x = 429,841.49 × 216,772.83
  4. Step 4: Simplify right side
    286,465.95x = 93,177,955,154.85
  5. Step 5: Solve for x
    x = 93,177,955,154.85/286,465.95
  6. Step 6: Final answer
    x = 325,267.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.